Let’s solve each problem one by one. We’ll find common denominators, add or subtract the fractions, and simplify if needed.
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1. 1/12 + 2/15
Find LCM of 12 and 15 → 60
1/12 = 5/60
2/15 = 8/60
5/60 + 8/60 = 13/60
✔
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2. 6/7 - 4/14
Note: 4/14 simplifies to 2/7
So: 6/7 - 2/7 = 4/7
✔
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3. 2/3 + 1/4
LCM of 3 and 4 → 12
2/3 = 8/12
1/4 = 3/12
8/12 + 3/12 = 11/12
✔
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4. 7/21 - 1/14
Simplify 7/21 → 1/3
Now: 1/3 - 1/14
LCM of 3 and 14 → 42
1/3 = 14/42
1/14 = 3/42
14/42 - 3/42 = 11/42
✔
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5. 1/6 + 5/18
LCM of 6 and 18 → 18
1/6 = 3/18
3/18 + 5/18 = 8/18 → simplify → 4/9
✔
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6. 9/12 - 5/24
Simplify 9/12 → 3/4
Now: 3/4 - 5/24
LCM of 4 and 24 → 24
3/4 = 18/24
18/24 - 5/24 = 13/24
✔
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7. 3/5 + 3/7
LCM of 5 and 7 → 35
3/5 = 21/35
3/7 = 15/35
21/35 + 15/35 = 36/35 → that’s 1 and 1/35
✔
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8. 3/8 - 2/18
Simplify 2/18 → 1/9
Now: 3/8 - 1/9
LCM of 8 and 9 → 72
3/8 = 27/72
1/9 = 8/72
27/72 - 8/72 = 19/72
✔
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9. 8/15 + 3/10
LCM of 15 and 10 → 30
8/15 = 16/30
3/10 = 9/30
16/30 + 9/30 = 25/30 → simplify → 5/6
✔
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10. 7/8 - 5/7
LCM of 8 and 7 → 56
7/8 = 49/56
5/7 = 40/56
49/56 - 40/56 = 9/56
✔
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11. 1/6 + 5/12
LCM of 6 and 12 → 12
1/6 = 2/12
2/12 + 5/12 = 7/12
✔
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12. 11/12 - 3/8
LCM of 12 and 8 → 24
11/12 = 22/24
3/8 = 9/24
22/24 - 9/24 = 13/24
✔
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13. 3/4 + 1/5
LCM of 4 and 5 → 20
3/4 = 15/20
1/5 = 4/20
15/20 + 4/20 = 19/20
✔
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14. 5/6 - 2/15
LCM of 6 and 15 → 30
5/6 = 25/30
2/15 = 4/30
25/30 - 4/30 = 21/30 → simplify → 7/10
✔
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Final Answer:
1. 13/60
2. 4/7
3. 11/12
4. 11/42
5. 4/9
6. 13/24
7. 36/35 (or 1 1/35)
8. 19/72
9. 5/6
10. 9/56
11. 7/12
12. 13/24
13. 19/20
14. 7/10
Parent Tip: Review the logic above to help your child master the concept of hard addition fractions worksheet.
